25833540 has 192 divisors, whose sum is σ = 85155840. Its totient is φ = 5806080.

The previous prime is 25833539. The next prime is 25833541. The reversal of 25833540 is 4533852.

It is an interprime number because it is at equal distance from previous prime (25833539) and next prime (25833541).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 25833498 and 25833507.

It is not an unprimeable number, because it can be changed into a prime (25833541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 600759 + ... + 600801.

It is an arithmetic number, because the mean of its divisors is an integer number (443520).

Almost surely, 2^25833540 is an apocalyptic number.

25833540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25833540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42577920).

25833540 is an abundant number, since it is smaller than the sum of its proper divisors (59322300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25833540 is a wasteful number, since it uses less digits than its factorization.

25833540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 25833540 is about 5082.6705578859. The cubic root of 25833540 is about 295.6160257382.

The spelling of 25833540 in words is "twenty-five million, eight hundred thirty-three thousand, five hundred forty".